The image of the circle \( x^{2}+y^{2}-6 x+4 y-12=0 \) in the line \( 3 x+2 y+8=0 \), is....

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The image of the circle \( x^{2}+y^{2}-6 x+4 y-12=0 \) in the line \( 3 x+2 y+8=0 \), is
\( \mathrm{P} \)
(1) \( (x+3)^{2}+(y+6)^{2}=25 \)
(2) \( (x-3)^{2}+(y+6)^{2}=25 \)
(3) \( (x+3)^{2}+(y-6)^{2}=25 \)
(4) None of these


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